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International Mathematics Olympiad Exam Preparation
Prepare for the International Mathematics Olympiad (IMO) with comprehensive modules covering number theory, algebraic techniques, combinatorics, geometry, calculus, algebraic structures, graph theory, optimization, mock tests, and problem-solving strategies.
Course syllabus · 9 modules
International Mathematics Olympiad (IMO)
Tap any module below for its full topic-by-topic breakdown.
- Introduction to prime numbers and divisibility
- Properties of integers and rational numbers
- Modular arithmetic and congruence
- Polynomial equations and factorization
- Vieta's formulas and symmetric sums
- Functional equations and their applications
- Counting principles: permutations and combinations
- Inclusion-Exclusion principle
- Pigeonhole principle and its applications
- Euclidean geometry fundamentals
- Transformations: reflections, rotations, and dilations
- Complex numbers in geometry
- Limits, continuity, and differentiability
- Rolle's and Mean Value Theorems
- Integration techniques and applications
- Diophantine equations
- Quadratic residues and reciprocity laws
- Continued fractions and their properties
- Groups, rings, and fields
- Polynomials over finite fields
- Galois Theory and its applications
- Basic graph terminology and types
- Eulerian and Hamiltonian graphs
- Network flows and optimization problems
- Full-length practice exams
- In-depth analysis of problem-solving techniques
- Time management strategies for the IMO exam
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